We discuss the results and implications from deep Chandra
and multicolor HST observations of two jets hosted by the
powerful quasars 1136--135 and 1150+497, together with new
radio observations. The sources were selected from our
previous X-ray/optical jet survey for detailed follow up
aimed at obtaining better constraints on the jet
multiwavelength morphology and X-ray and optical spectra of
individual knots, and to test emission models. In 1150+497
the X-ray, optical, and radio profiles decrease in similar
ways with distance from the core up to ~ 7\arcsec,
after which the radio emission increases more than the X-ray
one. In 1136--135, downstream of the most prominent knot at
~ 6.5\arcsec\ from the core the X-ray emission fades
while the radio emission brightens. The X-ray spectrum also
varies, with the X-ray photon index flattening from
\Gammax ~2 in the inner part to \Gammax ~1.7
to the end of the jet. We intepret the jet behavior in
1136--135 in a scenario where the relativistic flow suffers
systematic deceleration along the jet, and briefly discuss
the major consequences of this scenario.